For those who had extracted teeth with orthodontic treatment, you might be interested in reading this research report on the correlated health consequences, compiled with a team of doctors.
One of the most serious correlated consequences is OSA.
The report is in pre-publication draft form, and will be updated in the next couple weeks. Any questions, I can pass on to the researchers.
If you could also please take this survey (before reading the report, preferably) on the health consequences, this would help get data on the percentage of patients who do incur health issues.